Search a number
-
+
12210200002200 = 233528322954033
BaseRepresentation
bin1011000110101110100010…
…1000100011111010011000
31121020021122211110120212010
42301223220220203322120
53100022442200032300
641545142145345520
72400105065365164
oct261535050437230
947207584416763
1012210200002200
113988353644692
1214525033382a0
136a7555c84505
14302d96605ca4
15162936aaca50
hexb1ae8a23e98

12210200002200 has 144 divisors (see below), whose sum is σ = 38313171092520. Its totient is φ = 3216822686720.

The previous prime is 12210200002193. The next prime is 12210200002219. The reversal of 12210200002200 is 220000201221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2656384 + ... + 5610416.

Almost surely, 212210200002200 is an apocalyptic number.

12210200002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210200002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19156585546260).

12210200002200 is an abundant number, since it is smaller than the sum of its proper divisors (26102971090320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12210200002200 is a wasteful number, since it uses less digits than its factorization.

12210200002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954218 (or 2954126 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12210200002200 its reverse (220000201221), we get a palindrome (12430200203421).

The spelling of 12210200002200 in words is "twelve trillion, two hundred ten billion, two hundred million, two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 150 166 200 249 300 332 415 498 600 664 830 996 1245 1660 1992 2075 2490 3320 4150 4980 6225 6889 8300 9960 12450 13778 16600 20667 24900 27556 34445 41334 49800 55112 68890 82668 103335 137780 165336 172225 206670 275560 344450 413340 516675 688900 826680 1033350 1377800 2066700 2954033 4133400 5908066 8862099 11816132 14770165 17724198 23632264 29540330 35448396 44310495 59080660 70896792 73850825 88620990 118161320 147701650 177241980 221552475 245184739 295403300 354483960 443104950 490369478 590806600 735554217 886209900 980738956 1225923695 1471108434 1772419800 1961477912 2451847390 2942216868 3677771085 4903694780 5884433736 6129618475 7355542170 9807389560 12259236950 14711084340 18388855425 20350333337 24518473900 29422168680 36777710850 40700666674 49036947800 61051000011 73555421700 81401333348 101751666685 122102000022 147110843400 162802666696 203503333370 244204000044 305255000055 407006666740 488408000088 508758333425 610510000110 814013333480 1017516666850 1221020000220 1526275000275 2035033333700 2442040000440 3052550000550 4070066667400 6105100001100 12210200002200